Functions with Time and Frequency Gaps.
Funktionentheoretische Charakterisierung der Topologie in Distributionenräumen.
Fuzzy transforms in image compression and fusion
An overview of direct and inverse fuzzy transforms of three types is given and applications to data processing are considered. The construction and some important properties of fuzzy transforms are presented on the theoretical level. Three applications of -transform to data processing have been chosen: compressional and reconstruction of data, removing noise and data fusion. All of them successively exploit the filtering property of the inverse fuzzy transform.
GB*-Algebras associated with inductive limits of Hilbert spaces
Gelfand transform for a Boehmian space of analytic functions
Let denote the usual commutative Banach algebra of bounded analytic functions on the open unit disc of the finite complex plane, under Hadamard product of power series. We construct a Boehmian space which includes the Banach algebra A where A is the commutative Banach algebra with unit containing . The Gelfand transform theory is extended to this setup along with the usual classical properties. The image is also a Boehmian space which includes the Banach algebra C(Δ) of continuous functions on...
General Tauberian theorem in .
Generalizations of non-commutative neutrix convolution products of functions.
Generalized analytic functions with applications to singular ordinary and partial differential equations [Book]
Generalized Bochner-Schwartz theorem for tempered ultradistributions.
Generalized densities and distributional adjoints of natural operators.
Generalized Dunkl--Sobolev spaces of exponential type and applications.
Generalized Fourier expansions for distributions and ultradistributions.
Generalized Fractional Calculus With Application in Mechanics
Generalized Fractional Evolution Equation
2000 Mathematics Subject Classification: Primary 46F25, 26A33; Secondary: 46G20In this paper we study the generalized Riemann-Liouville (resp. Caputo) time fractional evolution equation in infinite dimensions. We show that the explicit solution is given as the convolution between the initial condition and a generalized function related to the Mittag-Leffler function. The fundamental solution corresponding to the Riemann-Liouville time fractional evolution equation does not admit a probabilistic...
Generalized Function Algebras and PDEs with Singularities. A Survey.
Generalized functionals of Brownian motion.
Generalized functions and their applications.
Generalized functions on adeles. Linear and non-linear theories
We consider various generalizations of linear homogeneous distributions on adeles and construct a number of algebras of non-linear generalized functions on adeles and totally disconnected groups such as the discrete adeles.
Generalized Gevrey classes and multi-quasi-hyperbolic operators.
Generalized Gevrey ultradistributions.